ERIC Number: ED629980
Record Type: Non-Journal
Publication Date: 2020-Dec
Pages: 11
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: N/A
Mental Mathematics in the Classroom: Content, Practices and Papert's "Mathland"
Proulx, Jérôme
North American Chapter of the International Group for the Psychology of Mathematics Education, Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (42nd, Mazatlán, Mexico and Online, May 27-Jun 6, 2021)
This lecture reports on aspects of a larger research programme focused on studying mental mathematics in elementary and secondary mathematics classrooms. It specifically addresses an unplanned aspect that became salient through the work conducted in these classrooms. In this research programme, mental mathematics sessions are designed on a variety of mathematical topics (e.g., algebra, geometry, measurement, statistics, trigonometry, fractions), where students are given short amounts of time to solve tasks given orally and/or on the board, without the use of paper-and-pencil or any material aids. Whereas the central objectives centers on inquiring into the nature of the strategies students engage in to solve the tasks, more seem to be happening in these sessions. In particular, students' solutions and strategies to the task given in the mental mathematics context led to numerous questions, discussions, follow-up explorations, and so forth, by students, which in turn enabled the emergence of significant mathematical issues. This raised interest in investigating these (additional and unplanned) mathematical issues. This represents the core of this lecture, which focuses on the nature of the mathematics (in terms of content and of practices) that frequently unfolds in the mental mathematics sessions conducted. Using an illustrative extract from a mental mathematics session on analytical geometry in a Grade-10 classroom (15-16 years old), the analysis outlines how not only mathematical content is being worked on through these mental mathematics sessions, but also how mathematical practices are being enacted by students. This raises issues about the nature of the environment that these mental mathematics session plunge students into, one that could be tentatively, and boldly, aligned with Papert's concept of mathland. [For the complete proceedings, see ED629884.]
Descriptors: Mental Computation, Mathematics Education, Problem Solving, Secondary School Students, Grade 10, Mathematics Activities, Cognitive Processes, Geometry
North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Publication Type: Speeches/Meeting Papers; Reports - Evaluative
Education Level: Secondary Education; Grade 10; High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A